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Popular >

integral from-1 to 3 of (x^3+1)

Solution

\int_{- 1}^{3} (x^{3} + 1) d x

Solution

24

Solution steps

\int_{- 1}^{3} x^{3} + 1 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{3} x^{3} d x + \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 1 d x = 4

= 20 + 4

Simplify

= 24

Popular Examples

derivative of 2x^3-42x^2+78x+k

\frac{d}{d x} (2 x^{3} - 42 x^{2} + 78 x + k)

limit as t approaches 1 of sqrt(t+1)

t \to 1 lim (t + 1)

limit as x approaches 7 of (3x+2)^{2/3}

x \to 7 lim ((3 x + 2)^{\frac{2}{3}})

integral from 0 to 1 of (1-x)^2x

\int_{0}^{1} (1 - x)^{2} x d x

integral of (3x-2/x)

\int (3 x - \frac{2}{x}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^3+1) ?
The integral from-1 to 3 of (x^3+1) is 24